S is a gcometric sequence. (a) Given that (Vx-1), 1 and (Vx +1) are the first three terms of S, find the value of x. You must show all your working.

Q: If x + 1, 2x + 2 and 5x + 2 form a geometric sequence, find the value of the first term. O 4 O 2 O 5

A:

Q: 10. Find a, for the sequence with generating function 2. (1-2) 1-1-2" - Hint You should "multiply"…

A:

Q: Determine if the sequence is increasing, and/or bounded. 3 — п (b) { (a) 1 — Зп - 3n n=1

A: Given

Q: Find term 4, term 6 and term 8 given by the formula: n2 +n+6 a n ;n2 1. n+7 Determine whether the…

A: an=n2+n+6n+7 For n=4a4=(4)2+4+64+7=2611For n=6a6=(6)2+6+66+7=4813For…

Q: Find the limit of the sequence as n approaches infinity: 3n - 5 an Зп + 4

A: Given,            an=3n-53n+4To find: The limit of the sequence as n approaches infinity.

Q: Find a formula for the nth term of the sequence. 2) 0, 2, 0, 2, 0 (alternating 0's and 2's) A) an =…

A: Option C is correct.  Checking options we get that for nth term series in option C is correct.  Put…

Q: = 2, r = 4. Find the partial sum Sg for the geometric sequence with a = S8 =

A:

Q: Find the first term of the geometric sequence from the given information. Express the term as an…

A:

Q: Determine if the sequence is increasing, decreasing, not monotonic, bounded below, bounded above…

A: (a)…

Q: find the values of k so that the numbers 2k+1, 3k+4 and 7k+ 6 form a geometric sequence

A:

Q: Find the formula of the general term an of the sequence: 3 1 2 .. 1, 2 2

A: The solution is given as

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: a geometric progression or a geometric sequence is the one, in which each term is varied by another…

Q: The formula for a sequence is 2n+3 where n=1,2,3... Show the first four terms of the sequence

A:

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A:

Q: Find the limit of the sequence as n approaches infinity: Зп - 5 an 2n + 9

A:

Q: Write the first 3 terms of the following sequence, and then find the value they converge to ( or…

A: We plug k=1,2,3 respectively to find the first three terms

Q: Find the nth term of the geometric sequence whose initial term is a1 9.5 and common ratio is 10. %3D…

A:

Q: Find the indicated term for the geometric sequence with first term, a,, and common ratio, r. Find…

A: Given that: First-term, a1 = 2 Common ratio, r = 4 To find a6 of the geometric sequence.

Q: Describe the long-term behaviour of the sequence (xn) given by  xn = 81 x (0.9)n - 15      (n=…

A:

Q: Use a-a, to show that the given sequence {a,} is strictly increasing or strictly decreasing. b)…

A:

Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.

A:

Q: Find an explicit formula an for the nth term of the geometric sequence whose first term is a, = 4…

A: Use general formula of geometric series

Q: I. Find the first three terms of the sequence whose nth term is given by the formula. Show the…

A: First three terms of the sequence

Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

A:

Q: Find x so that x, (x + 2), and (x + 3) are consecutive terms of a geometric sequence.

A: In this question, we will find the value of x which will satisfy the conditions of a geometric…

Q: How do I do that?

A: Given that an denotes the nth term of the sequence {10, –2, 10, –2, 10, –2, ….}.Note that the above…

Q: Find a, and a3 for the following geometric sequence. a, =3, r= -2 an %3D

A:

Q: Use iteration to guess an explicit formula for the following sequence - dz = 5dr-1 + 3, for all…

A: Given dk = 5dk - 1 + 3, ...... (1) dk - 1 = 5dk - 2 + 3 ......(2)

Q: Find the formula an for the n th conditions: a₁ = term of the geometric sequence satisfying the…

A:

Q: Write out the first four terms of the sequence given the following recursive definition: tne1 =…

A: # the given initial value is a1=8 . considering it as t1=8 given the relation tn+1=-2tn+6 substitute…

Q: Q1. Write out the first four terms of the sequence and determine whether the sequence is converging.…

A: we have to write first four term of the sequence

Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…

A: To find the fifth term and nth term of the sequence whose first term and the common ratio is given.

Q: Find the formula of the general term an of the sequence: 1 1 1 1

A: Sequence: A function whose domain is the set N of natural numbers and range is the set of real…

Q: Determine t ₙ for the geometric sequence below: a = 5x r = 2x

A:

Q: » calculate: The limit of the sequence a, = 2n n+1

A:

Q: c) Write the explicit formula for the nth term of the sequence below. d) Prove that mathematical…

A:

Q: Write a formula for the nth term of an of the sequence and determine its limit (if it exists).…

A:

Q: Use the given nth- term formula to compute the first five terms of the sequence. an=n/n+1

A: Given an  = n/(n+1) So the first five terms of sequence are a1 = 1/(1+1) = 1/2 a2 = 2/(2+1) = 2/3

Q: For each sequence below, explain why the sequence diverges or find the value that it converges to:…

A: Given sequence: n-2e3nn10+6en The main objective is to explain why the sequence diverges or find the…

Q: Find the formula of the general term an of the sequence:

A:

Q: Write out the first five terms of the sequence, determine whether the sequence converges, and if so…

A: Given,      an = n2 + 3n - na1 = 1,   a2 = 10 -2,    a3  = 18 -3,   a4 = 28 -4,  a5  = 40 -5by…

Q: SHOW YOUR SOLUTION DETERMINE THE FIRST FIVE TERMS OF EACH DEFINED SEQUENCE, AND GIVE THEIR…

A: Given, The nth tems of the sequences {3n+1} {n²-1} an=an-1+1 , a1=5 an+1=3an , a1=1 Let's assume…

Q: The nth term of the sequence -2,0-2,0 -2,0, is ... Select one: a. (-1)".2-2 O b. (-1)" +1.2-2 O c.…

A: Consider the sequence-2,0,-2,0,-2,0,............

Q: {1· 2·3 ... n} а. 143 O b. 135 с. 153 d. 134

A:

Q: If v2, x, V8 form a harmonic sequence, find x.

A:

Q: For Exercise, find the nth term an of a sequence whose first four terms are given. 1· 2 1.2.3…

A: Let Tn be the nth term. Examine the numerator of T1 = 1.2; that of T2 = 1.2.3; that of T3 = 1.2.3.4…

Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 5 5 15,…

A: Consider the sequence, 15,  -5,  53,  -59, ......................... The sum of the first “n” term…

Q: Find a formula for the general term an of  the sequence,assuming that the pattern of the first few…

A:

Q: i i=0

A:

Q: =(-1) 你十2

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.